Secondary Theories for Simplicial Manifolds and Classifying Spaces
reportposted on 26.02.2009, 13:34 by Marcello Felisatti, Frank Neumann
Abstract. We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi’s multiplicative Ktheory and multiplicative cohomology groups for smooth manifolds. As a special case we get versions of the groups of differential characters of Cheeger and Simons for simplicial smooth manifolds. Special examples include classifying spaces of Lie groups and Lie groupoids.